Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4060a |
Isogeny class |
Conductor |
4060 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
568400 = 24 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,4] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] [-3:7:1] |
Generators of the group modulo torsion |
j |
67108864/35525 |
j-invariant |
L |
3.2101607415887 |
L(r)(E,1)/r! |
Ω |
2.5522134438917 |
Real period |
R |
0.41926492593755 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16240o1 64960o1 36540n1 20300h1 |
Quadratic twists by: -4 8 -3 5 |